American Airlines says Travelport Ltd. shouldn’t be allowed to delay a fast-approaching antitrust trial in which “billions of dollars” are potentially on the line.

Travelport, whose technology allows travel agents to search for and compare airfares, wants to bring new allegations against American but says the airline’s bankruptcy is preventing it from doing so. American, through its parent AMR Corp. (AAMRQ), says the problem isn’t with its bankruptcy but instead with Travelport’s attempt to fight back with claims that it should have brought months ago.